Is it okay for a Chinese to greet a Jew shalom?

The notion that all Jews should be greeted “Shalom!” is based on the premise that all Jews are Hebrew-speaking Israelis—which is not the case.

You might say “Shalom” to an Israeli, but since even Israelis rarely greet each other that way (except in an exaggerated or humourous, “Shaaa-LOM!”—rather like an English speaker might greet someone “Well, hel-LLOH there!”), it’s rather unnecessary.